352438732800 has 2592 divisors, whose sum is σ = 1693771279200. Its totient is φ = 71530905600.

The previous prime is 352438732781. The next prime is 352438732853. The reversal of 352438732800 is 8237834253.

352438732800 is a `hidden beast` number, since 3 + 5 + 243 + 87 + 328 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8196249579 + ... + 8196249621.

Almost surely, 2^352438732800 is an apocalyptic number.

352438732800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352438732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846885639600).

352438732800 is an abundant number, since it is smaller than the sum of its proper divisors (1341332546400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352438732800 is a wasteful number, since it uses less digits than its factorization.

352438732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 352438732800 in words is "three hundred fifty-two billion, four hundred thirty-eight million, seven hundred thirty-two thousand, eight hundred".